x^2+11x+30.25=182.25

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Solution for x^2+11x+30.25=182.25 equation:


Simplifying
x2 + 11x + 30.25 = 182.25

Reorder the terms:
30.25 + 11x + x2 = 182.25

Solving
30.25 + 11x + x2 = 182.25

Solving for variable 'x'.

Reorder the terms:
30.25 + -182.25 + 11x + x2 = 182.25 + -182.25

Combine like terms: 30.25 + -182.25 = -152
-152 + 11x + x2 = 182.25 + -182.25

Combine like terms: 182.25 + -182.25 = 0.00
-152 + 11x + x2 = 0.00

Factor a trinomial.
(-19 + -1x)(8 + -1x) = 0.00

Subproblem 1

Set the factor '(-19 + -1x)' equal to zero and attempt to solve: Simplifying -19 + -1x = 0 Solving -19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = 0 + 19 -1x = 0 + 19 Combine like terms: 0 + 19 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {-19, 8}

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